# how can be the velocity calculated from position-time graph and
how is velocity and position-time graph's slope related. please explain with an example and related graph

### Asked by damarlasumanjali | 23rd Jun, 2014, 08:36: PM

Expert Answer:

### In a position- time graph, time is taken along the x-axis and the position of the body (displacement) along the y-axis.From this graph, we can determine the velocity of the body as velocity is the rate of change of position( displacement) .
i. e velocity is the ratio of displacement and time.Slope of a graph is the ratio of change in y-axis to change in x-axis.
Example:
Consider a car moving on a straight path in a given direction with a uniform speed.The position-time graph of the motion of car is as shown below.Find the velocity of the car?
The position time graph is a straight line inclined to time axis.The displacement of the graph is directly proportionl to the time or the car travels equal distance in equal interval of time in a certain direction.
The velocity of the car can be obtained by finding the slope of the straight line OP. For this take two points A and B on the line OP as shown. Draw perpendicular AD and BE on y-axis and AF and BG on x-axis from these points.
The velocity of the car = slope of the line OP.

### Answered by Jyothi Nair | 24th Jun, 2014, 10:30: AM

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